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\(a.2a+4b+\left(-4b+5a\right)-\left(6a-9b\right)\)
\(=2a+4b-4b+5a-6a+9b\)
\(=\left(2a+5a-6a\right)+\left(4b-4b+9b\right)\)
\(=a+9b\)
\(b.6a\left[b+3a-\left(4a-b\right)\right]\)
\(=6a\left[b+3a-4a+b\right]\)
\(=6a\left[4a-a+b+b\right]\)
\(=6a\left(3a-2b\right)\)
6a - [ b + 3a - (4a - b)]
= 6a - [ b + 3a - 4a + b]
= 6a - [2b - a]
= 6a - 2b + a
= 7a - 2b
a) \(\left(2a-b\right)\left(b+4a\right)+2a\left(b-3a\right)\)
\(=2ab+8a^2-b^2-4ab+2ab-6a^2\)
\(=\left(2ab+2ab-4ab\right)+\left(8a^2-6a^2\right)-b^2\)
\(=2a^2-b^2\)
b) \(\left(3a-2b\right).\left(2a-3b\right)-6a\left(a-b\right)\)
\(=6a^2-9ab-4ab+6b^2-6a^2+6ab\)
\(=\left(6a^2-6a^2\right)-\left(9ab+4ab-6ab\right)+6b^2\)
\(=-7ab+b^2\)
c) \(5b\left(2x-b\right)-\left(8b-x\right)\left(2x-b\right)\)
\(=10bx-5b^2-\left(16bx-8b^2-2x^2+bx\right)\)
\(=10bx-5b^2-16bx+8b^2+2x^2-bx\)
\(=\left(10bx-16bx-bx\right)-\left(5b^2-8b^2\right)+2x^2\)
\(=-7bx+3b^2+2x^2\)
d) \(2x\left(a+15x\right)+\left(x-6a\right)\left(5a+2x\right)\)
\(=2ax+30x^2+5ax+2x^2-30a^2-12ax\)
\(=\left(2ax+5ax-12ax\right)+\left(30x^2+2x^2\right)-30a^2\)
\(=-5ax+32x^2-30a^2\)
a: =2ab+8a^2-b^2-4ab+2ab-6a^2
=2a^2-b^2
b: =6a^2-9ab-4ab+6b^2-6a^2+6ab
=-7ab+6b^2
c: =10bx-5b^2-16bx+8b^2+2x^2-xb
=3b^2+2x^2-7xb
d: =2xa+30x^2+5ax+2x^2-30a^2-12ax
=32x^2-30a^2-5ax
4a2b2 + 36a2b3 + 6ab4
= 2ab2(2a + 18ab + 3b2)
4a2b3 - 6a3b2
= 2a2b2(2b - 3a)
a) Do -8 < 4 nên a < 0 b) Do 5 ≤ 30 nên a ≥ 0
c) Do 6 < 12 nên a ≤ 0. d) Do -5 < 15 nên a < 0.
1, (\(x\) + 3y)2
= \(x^2\) + 2.3\(xy\) + (3y)2
= \(x^2\) + 6\(xy\) + 9y2
2, (4a + b)2
= (4a)2 + 2.4.a.b + b2
= 16a2 + 8ab + b2
\(\left(a+b\right)^4\)
\(=C^0_4\cdot a^4+C^1_4\cdot a^3b+C_4^2\cdot a^2b^2+C^3_4ab^3+C_4^4\cdot b^4\)
\(=a^4+4a^3b+6a^2b^2+4ab^3+b^4\)
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